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Pré-Publication, Document De Travail Année : 2007

Convergence properties and numerical simulation by an adaptive FEM of the thermistor problem

Résumé

In this paper, the convergence properties of the finite element approximation of the thermistor problem are investigated, both from theoretical and numerical point of view. From one hand, based on a duality argument, a theoretical convergence result is proved under low regularity assumption. From other hand, numerical experiments are performed based on a decoupled algorithm. Moreover, on a non convex domain, the convergence properties versus the mesh size are shown to be improved by using suitable mesh adaptation strategy and error estimator.
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Dates et versions

hal-00449960 , version 1 (25-01-2010)

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  • HAL Id : hal-00449960 , version 1

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Claire Chauvin, Pierre Saramito, Christophe Trophime. Convergence properties and numerical simulation by an adaptive FEM of the thermistor problem. 2007. ⟨hal-00449960⟩
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